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Finding the Fourth Proportional to 551,780.91, 827,082.90 and 314,612.91

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Solution

The fourth proportional to 551,780.91, 827,082.90 and 314,612.91 is: 471,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,780.91 : 827,082.90 = 314,612.91 : x
  2. Step 2: Convert to fraction form
    551,780.91/827,082.90 = 314,612.91/x
  3. Step 3: Cross multiply
    551,780.91x = 827,082.90 × 314,612.91
  4. Step 4: Simplify right side
    551,780.91x = 260,210,957,980.24
  5. Step 5: Solve for x
    x = 260,210,957,980.24/551,780.91
  6. Step 6: Final answer
    x = 471,583.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.